output
20042026
most citedTraffic Instabilities in Self-Organized Pedestrian Crowds

217 citations

Showing 2020Show all

12 papers · 1 filter

math.DG2020★ 15 cited

Weighted K-stability of polarized varieties and extremality of Sasaki manifolds

Vestislav Apostolov, David M. J. Calderbank, Eveline Legendre

We use the correspondence between extremal Sasaki structures and weighted extremal Kahler metrics defined on a regular quotient of a Sasaki manifold, established by the first two a…

cs.RO2020★ 1 cited

Solving Footstep Planning as a Feasibility Problem using L1-norm Minimization (Extended Version)

Daeun Song, Pierre Fernbach, Thomas Flayols +4

One challenge of legged locomotion on uneven terrains is to deal with both the discrete problem of selecting a contact surface for each footstep and the continuous problem of placi…

math.PR2020★ 5 cited

Variational methods for a singular SPDE yielding the universality of the magnetization ripple

Radu Ignat, Felix Otto, Tobias Ried +1

The magnetization ripple is a microstructure formed in thin ferromagnetic films. It can be described by minimizers of a nonconvex energy functional leading to a nonlocal and nonlin…

math.AP2020★ 33 cited

Some non-homogeneous Gagliardo-Nirenberg inequalities and application to a biharmonic non-linear Schrödinger equation

Antonio J. Fernández, Louis Jeanjean, Rainer Mandel +1

We study the standing waves for a fourth-order Schrödinger equation with mixed dispersion that minimize the associated energy when the norm (the \textit{mass}) } is kept fixe…

math.AP2020★ 4 cited

Invasion into remnant instability: a case study of front dynamics

Gregory Faye, Matt Holzer, Arnd Scheel +1

We study the invasion of an unstable state by a propagating front in a peculiar but generic situation where the invasion process exhibits a remnant instability. Here, remnant insta…

math.PR2020★ 8 cited

Fisher-KPP equation with small data and the extremal process of branching Brownian motion

Leonid Mytnik, Jean-Michel Roquejoffre, Lenya Ryzhik

We consider the limiting extremal process of the particles of the binary branching Brownian motion. We show that after a shift by the logarithm of the derivative mar…